Krishnan, Karthik (2016) Free vibration of composite laminated rectangular plates under shear deformation theory. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract
In this study, free vibration of antisymmetric angleply, and crossply laminated rectangular plates under first order shear deformation theory using clamped boundary condition is analysed. Two different numerical methods called Splines approximation and Radial Basis Functions (RBFs) are considered to approximate the functions. The fundamental frequency for antisymmetric angleply plates are analysed with respect to aspect ratio, lengthtothickness ratio, ply angles and number of layers with different type of material arrangements. The problem of free vibration of crossply laminated plates are analysed for frequency parameter with respect to lengthtothickness ratio, aspect ratio, and number of layer with different disposition of materials. For both of the problems, the equations of motion derived using Yang Nooris and Stavsky (YNS) theory and the solution is assumed in separable form to obtain a coupled differential equations in term of displacement and rotational functions. These functions are approximated using cubic Spline function for the first case and the differential equations are then approximated using RBF for the second case. Preliminary studies on antisymmetric angleply laminated plates with higher order shear deformation theory under simply supported boundary condition are studied using Spline method. The free vibration of antisymmetric angleply laminated plates are analysed, under third order shear deformation theory using spline approximation. The equations of motions are derived using Reddy theory with third order shear deformation theory and the solution is assumed in separable form to obtain a coupled differential equations. The displacement and rotational functions are approximated using cubic and quantic Splines. These procedures produce a set of ordinary differential equation, along with boundary condition equations and become a generalized eigenvalue problem. The resulting eigenvalue problem is solved for the frequency parameter. The frequency parameter was analysed with respect to aspect ratio, lengthtothickness ratio, ply angles and number of layers with different type of material arrangements. The aim of this research is to provide the free vibration of layered plates for antisymmetric angleply and crossply laminated plate with first order shear deformation theory with clamped boundary condition and identifies the difference between two different methods applied.
Item Type:  Thesis (Masters) 

Additional Information:  Thesis (Sarjana Sains (Matematik))  Universiti Teknologi Malaysia, 2016; Supervisors : Assoc. Prof. Dr. K. K. Viswanathan, Prof. Dr. Zainal Aziz, Prof. Dr. Y. V. S. S. Sanyasiraju 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  81054 
Deposited By:  Fazli Masari 
Deposited On:  24 Jul 2019 03:06 
Last Modified:  24 Jul 2019 03:06 
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